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September  2009, 8(5): 1503-1520. doi: 10.3934/cpaa.2009.8.1503

The dimension of the attractor for the 3D flow of a non-Newtonian fluid

1. 

Charles University, Faculty of Mathematics and Physics, Mathematical Institute, Sokolovská 83, 186 75 Prague 8

2. 

Mathematical Institute, Charles University, Sokolovská, 83, CZ-18675 Prague 8, Czech Republic

3. 

Charles University, Faculty of Mathematics and Physics, Department of Mathematical Analysis, Sokolovská 83, 186 75 Prague 8

4. 

Department of Mathematical Analysis, Charles University, Prague, Sokolovská 83, 186 75 Prague 8

Received  August 2008 Revised  January 2009 Published  April 2009

The equations of an incompressible, homogeneous fluid occupying a bounded domain in $\mathbb R^3$ are considered.
    The stress tensor has a general polynomial dependence on the symmetric velocity gradient. The goal is to estimate the dimension of the global attractor in terms of relevant physical constants.
Citation: M. Bulíček, F. Ettwein, P. Kaplický, Dalibor Pražák. The dimension of the attractor for the 3D flow of a non-Newtonian fluid. Communications on Pure & Applied Analysis, 2009, 8 (5) : 1503-1520. doi: 10.3934/cpaa.2009.8.1503
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